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Finding the Third Proportional to 764,983.13 and 1,035,141.19

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Solution

The third proportional to 764,983.13 and 1,035,141.19 is: 1,400,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,983.13 : 1,035,141.19 = 1,035,141.19 : x
  2. Step 2: Convert to fraction form
    764,983.13/1,035,141.19 = 1,035,141.19/x
  3. Step 3: Cross multiply
    764,983.13x = 1,035,141.19 × 1,035,141.19
  4. Step 4: Simplify right side
    764,983.13x = 1,071,517,278,058.91
  5. Step 5: Solve for x
    x = 1,071,517,278,058.91/764,983.13
  6. Step 6: Final answer
    x = 1,400,707.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.